Determine the value of k for which the system of linear equations has infinitely many solutions. Then find all solutions corresponding to this value of k. 
Definitions:
Eyewitness Memory
The recall of individuals who have witnessed a particular event or crime, concerning their ability to remember and report details accurately.
High Confidence
The strong belief or certainty in one's abilities, decisions, or correctness of information.
Jurors
Members of a jury, who are individuals selected to make a decision or find facts in legal proceedings.
Accurate Memory
The ability to recall past events, information, or experiences with high fidelity and precision, with minimal errors or distortions.
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